Koszul A∞-algebras and free loop space homology

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Koszul A∞-algebras and free loop space homology. / Berglund, Alexander; Börjeson, Kaj.

In: Proceedings of the Edinburgh Mathematical Society, Vol. 63, No. 1, 2020, p. 37-65.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Berglund, A & Börjeson, K 2020, 'Koszul A∞-algebras and free loop space homology', Proceedings of the Edinburgh Mathematical Society, vol. 63, no. 1, pp. 37-65. https://doi.org/10.1017/S0013091519000154

APA

Berglund, A., & Börjeson, K. (2020). Koszul A∞-algebras and free loop space homology. Proceedings of the Edinburgh Mathematical Society, 63(1), 37-65. https://doi.org/10.1017/S0013091519000154

Vancouver

Berglund A, Börjeson K. Koszul A∞-algebras and free loop space homology. Proceedings of the Edinburgh Mathematical Society. 2020;63(1):37-65. https://doi.org/10.1017/S0013091519000154

Author

Berglund, Alexander ; Börjeson, Kaj. / Koszul A∞-algebras and free loop space homology. In: Proceedings of the Edinburgh Mathematical Society. 2020 ; Vol. 63, No. 1. pp. 37-65.

Bibtex

@article{122deffb002d4a99b3cfe57f67a9da8b,
title = "Koszul A∞-algebras and free loop space homology",
abstract = "We introduce a notion of Koszul A-algebra that generalizes Priddy's notion of a Koszul algebra and we use it to construct small A-algebra models for Hochschild cochains. As an application, this yields new techniques for computing free loop space homology algebras of manifolds that are either formal or coformal (over a field or over the integers). We illustrate these techniques in two examples.",
keywords = "A algebras, Koszul duality, loop spaces",
author = "Alexander Berglund and Kaj B{\"o}rjeson",
year = "2020",
doi = "10.1017/S0013091519000154",
language = "English",
volume = "63",
pages = "37--65",
journal = "Proceedings of the Edinburgh Mathematical Society",
issn = "0013-0915",
publisher = "Cambridge University Press",
number = "1",

}

RIS

TY - JOUR

T1 - Koszul A∞-algebras and free loop space homology

AU - Berglund, Alexander

AU - Börjeson, Kaj

PY - 2020

Y1 - 2020

N2 - We introduce a notion of Koszul A-algebra that generalizes Priddy's notion of a Koszul algebra and we use it to construct small A-algebra models for Hochschild cochains. As an application, this yields new techniques for computing free loop space homology algebras of manifolds that are either formal or coformal (over a field or over the integers). We illustrate these techniques in two examples.

AB - We introduce a notion of Koszul A-algebra that generalizes Priddy's notion of a Koszul algebra and we use it to construct small A-algebra models for Hochschild cochains. As an application, this yields new techniques for computing free loop space homology algebras of manifolds that are either formal or coformal (over a field or over the integers). We illustrate these techniques in two examples.

KW - A algebras

KW - Koszul duality

KW - loop spaces

UR - http://www.scopus.com/inward/record.url?scp=85069521834&partnerID=8YFLogxK

U2 - 10.1017/S0013091519000154

DO - 10.1017/S0013091519000154

M3 - Journal article

AN - SCOPUS:85069521834

VL - 63

SP - 37

EP - 65

JO - Proceedings of the Edinburgh Mathematical Society

JF - Proceedings of the Edinburgh Mathematical Society

SN - 0013-0915

IS - 1

ER -

ID: 226948961